616410108000 has 192 divisors, whose sum is σ = 2243733186240. Its totient is φ = 164376000000.

The previous prime is 616410107923. The next prime is 616410108001. The reversal of 616410108000 is 801014616.

616410108000 is a `hidden beast` number, since 6 + 1 + 641 + 0 + 10 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×616410108000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (616410108001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2745751 + ... + 2961750.

It is an arithmetic number, because the mean of its divisors is an integer number (11686110345).

Almost surely, 2^616410108000 is an apocalyptic number.

616410108000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

616410108000 is an abundant number, since it is smaller than the sum of its proper divisors (1627323078240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

616410108000 is a wasteful number, since it uses less digits than its factorization.

616410108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707535 (or 5707511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 616410108000 in words is "six hundred sixteen billion, four hundred ten million, one hundred eight thousand".